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Finding the Fourth Proportional to 6,153.20, 9,179.50 and 5,289.20

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Solution

The fourth proportional to 6,153.20, 9,179.50 and 5,289.20 is: 7,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.20 : 9,179.50 = 5,289.20 : x
  2. Step 2: Convert to fraction form
    6,153.20/9,179.50 = 5,289.20/x
  3. Step 3: Cross multiply
    6,153.20x = 9,179.50 × 5,289.20
  4. Step 4: Simplify right side
    6,153.20x = 48,552,211.40
  5. Step 5: Solve for x
    x = 48,552,211.40/6,153.20
  6. Step 6: Final answer
    x = 7,890.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.